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Finding the Fourth Proportional to 181,902, 251,015 and 100,227.72

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Solution

The fourth proportional to 181,902, 251,015 and 100,227.72 is: 138,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,902 : 251,015 = 100,227.72 : x
  2. Step 2: Convert to fraction form
    181,902/251,015 = 100,227.72/x
  3. Step 3: Cross multiply
    181,902x = 251,015 × 100,227.72
  4. Step 4: Simplify right side
    181,902x = 25,158,661,135.80
  5. Step 5: Solve for x
    x = 25,158,661,135.80/181,902
  6. Step 6: Final answer
    x = 138,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.